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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I must make a confession. Even with two jobs backed up, I took the morning off to attend the victory celebration parade in honor of our Ravens football team, which took place in heavy rain. As a result, I found almost no time to search for a fractal. Luckily, Fractint has an evolver feature, which varies the input parameters at random within specified limits. So today's fractal is not one I found, it is one my Pentium 200mhz fractal computer found. The resulting image rates an 8, which is above the average of the images I find without the evolver. Does this mean that a computer can find better fractals faster than a human being? Perhaps. . . . Or perhaps not, but in any case, it should be at least possible to write a fractal program that can analyze a section of a fractal image and zero in automatically on the nearest midget. But I'm not about ready to attempt such a program myself. Today's image is a production of number 7 in my series of 12 MandNewt formulae. It is almost totally composed of bof60 inside fill, which typically produces clouds and strings of bubbles when applied to an image created by one of the MandNewt formulae. I named the image "The Fractal Swarm" when the dark clouds of tiny black objects floating between the larger bubbles caught my eye. These clouds resemble swarms of bees. The parameter file renders in 8-1/2 minutes, though I strongly advise setting the color palette by using the color map file attached to the end of this letter. Due to a technical limitation, the colors as recorded in the parameter file are slightly but significantly incorrect. This is the first time this limitation has actually caused me to record the colors in the more accurate *.map format. The correctly colored image may also be obtained by downloading it from: The image will also be available on the Web within an hour at: The fractal weather today started with heavy showers of rain, which cleared away at midday, to be followed by a sunny afternoon with a temperature of 54F (12C). The fractal cats took full advantage of the ideal conditions. I now see that it's time once again to shut down the fractal shoppe and call it a night. But I'll return tomorrow with more fractal news. Until then, take care, and keep looking for fractals. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
The_Fractal_Swarm { ; time=0:08:32.67 -- SF5 on a P200
reset=2001 type=formula formulafile=mandnewt.frm
formulaname=MandNewt07 passes=1
center-mag=+1.14395346089396100/+0.61275989497159020\
/9442.281/1/92.499 params=1.86/-0.8/1/-3.6/3.72/0.15
float=y maxiter=240 inside=bof60 logmap=yes
symmetry=none periodicity=0
colors=000zwzwuzosygpwTnuQksQiq<7>Q`hQ_gQZf<2>QWbQV`\
SU_<3>SQUSPTSOS<3>OKNNJLMIK<2>JFGIEFJDEKCCLDGMFHNHJO\
JMRKQVLUZLWaMYcN`fNbhNejOfmOfoOgoPhtPgvPiwPjuNg<3>pI\
XnGUmFQlEOjBLiAIg8F<2>c45b22a00_56XACUCJSGOPJUON_LPe\
JTiGVoE_tCaxCbxEcxEexFex0Y60Q80KA0EA6FCFFENGFUGI`IJg\
IKnJNuJOzKPzKQzJOyJLvJJsJGoJF`YVKlj2yy4tu5np6hl8bgAX\
bBQYCKTEFPzoCzqB<2>zv6zqCznIziNxfSwaXuYatTfqPjpLonJn\
mImjFliElgBjfAic6hb5ha6ia8ia8jaAj`Al<2>`Cm_Cm_En_En_\
FoYFoYGpYGpYIqXJqXJqXKsXKsVLtVLtVNu<4>UPwTQwTQxTSx<3\
>SUzSVzQVzQXzQXzQYzPYzP_z<2>P`zKfz<2>4wo5tm6qj8ohAlf\
BicCgaEe_EaYF_VGXTIUQJQOKOLLLJNJGNFFOCCPAAQ66S24T00U\
00<2>S00S00Q00Q00P02P02O04O04N25N25L46L46K58K58J6AJ6\
AI8BGACGACFBEFBEECFECFCEGCEGBFIBFIAGJAGJ8IK8IK6JL6JL\
6LL8NK<2>8UJ8XJAYIA`I
}
frm:MandNewt07 {; Jim Muth
z=c=(pixel*p1):
a=z^3+(c-p2)*z-c
b=3*z^2+c-1
z=z-p3*a/b
0.000000000000000000000000000001 <= |a|
}
END 20.0 PAR-FORMULA FILE==================================
START theswarm.map COLOR MAP FILE==========================
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END theswarm.map COLOR MAP FILE============================
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